Leverage Effect for Volatility with Generalized Laplace Error

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</div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Leverage Effect for Volatility with Generalized Laplace Error</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Farrukh%20Javed">Farrukh Javed</a>, <a href="https://publications.waset.org/abstracts/search?q=Krzysztof%20Podg%C3%B3rski"> Krzysztof Podg贸rski</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose a new model that accounts for the asymmetric response of volatility to positive ('good news') and negative ('bad news') shocks in economic time series the so-called leverage effect. In the past, asymmetric powers of errors in the conditionally heteroskedastic models have been used to capture this effect. Our model is using the gamma difference representation of the generalized Laplace distributions that efficiently models the asymmetry. It has one additional natural parameter, the shape, that is used instead of power in the asymmetric power models to capture the strength of a long-lasting effect of shocks. Some fundamental properties of the model are provided including the formula for covariances and an explicit form for the conditional distribution of 'bad' and 'good' news processes given the past the property that is important for the statistical fitting of the model. Relevant features of volatility models are illustrated using S&P 500 historical data. <iframe src="https://publications.waset.org/abstracts/18972.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heavy%20tails" title="heavy tails">heavy tails</a>, <a href="https://publications.waset.org/abstracts/search?q=volatility%20clustering" title=" volatility clustering"> volatility clustering</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20asymmetric%20laplace%20distribution" title=" generalized asymmetric laplace distribution"> generalized asymmetric laplace distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=leverage%20effect" title=" leverage effect"> leverage effect</a>, <a href="https://publications.waset.org/abstracts/search?q=conditional%20heteroskedasticity" title=" conditional heteroskedasticity"> conditional heteroskedasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=asymmetric%20power%20volatility" title=" asymmetric power volatility"> asymmetric power volatility</a>, <a href="https://publications.waset.org/abstracts/search?q=GARCH%20models" title=" GARCH models "> GARCH models </a> </p> <a href="https://publications.waset.org/abstracts/18972/leverage-effect-for-volatility-with-generalized-laplace-error" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18972.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">385</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About 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Leverage Effect for Volatility with Generalized Laplace Error